Find the following indefinite integrals. 24x² a) S -dx (3x4-8) b) c) (-2x² - 15e* + √√x³) dx √(x²√8x³ + 18) dx

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A: The objective is to prove the above question.

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A: I have stated the used formulas in the solution

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A: We will solve the following.

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Q: Find the curvature of the curve r(t) =

A: This question can be solved by applying the formula for curvature.

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A: The objective of the question is determine the new function (equation) after translation upward.